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Oscillatory dynamics in a simple gene regulatory network mediated by small RNAs

Author

Listed:
  • Shen, Jianwei
  • Liu, Zengrong
  • Zheng, Weixing
  • Xu, Fengdan
  • Chen, Luonan

Abstract

More and more experiments show that small RNAs regulate gene expression by repressing translation of messenger RNAs (mRNAs) or degrading mRNAs. In this paper, we incorporate the small RNAs into a simple gene regulatory network and investigate its dynamical behaviors. In addition, we also derive the theoretical results of globally asymptotic stability and provide the sufficient conditions for the oscillation of the simple gene regulatory network, and further demonstrate that the amplitudes against the change of delay in the gene regulatory network are robust.

Suggested Citation

  • Shen, Jianwei & Liu, Zengrong & Zheng, Weixing & Xu, Fengdan & Chen, Luonan, 2009. "Oscillatory dynamics in a simple gene regulatory network mediated by small RNAs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2995-3000.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:14:p:2995-3000
    DOI: 10.1016/j.physa.2009.03.032
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    References listed on IDEAS

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    1. Richard I. Gregory & Kai-ping Yan & Govindasamy Amuthan & Thimmaiah Chendrimada & Behzad Doratotaj & Neil Cooch & Ramin Shiekhattar, 2004. "The Microprocessor complex mediates the genesis of microRNAs," Nature, Nature, vol. 432(7014), pages 235-240, November.
    2. Victor Ambros, 2004. "The functions of animal microRNAs," Nature, Nature, vol. 431(7006), pages 350-355, September.
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    Cited by:

    1. Zang, Hong & Zhang, Tonghua & Zhang, Yanduo, 2015. "Bifurcation analysis of a mathematical model for genetic regulatory network with time delays," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 204-226.
    2. Huang, Chengdai & Cao, Jinde & Xiao, Min, 2016. "Hybrid control on bifurcation for a delayed fractional gene regulatory network," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 19-29.
    3. Zhdanov, Vladimir P., 2012. "Periodic perturbation of genetic oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 45(5), pages 577-587.
    4. Lingling Li & Jianwei Shen, 2017. "Bifurcations and Dynamics of the Rb-E2F Pathway Involving miR449," Complexity, Hindawi, vol. 2017, pages 1-20, October.

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